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Finding the Fourth Proportional to 536.70, 740.14 and 412.36

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Solution

The fourth proportional to 536.70, 740.14 and 412.36 is: 568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 740.14 = 412.36 : x
  2. Step 2: Convert to fraction form
    536.70/740.14 = 412.36/x
  3. Step 3: Cross multiply
    536.70x = 740.14 × 412.36
  4. Step 4: Simplify right side
    536.70x = 305,204.13
  5. Step 5: Solve for x
    x = 305,204.13/536.70
  6. Step 6: Final answer
    x = 568.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.